# reaction of catalytic oxidation

## Stability of carbon monoxide oxidation process on gold nanoparticles

The stability conditions for mathematical models of carbon monoxide oxidation on the surface of gold nanoparticles are investigated.  The cases of reaction mechanisms of one-step and step-by-step transformation of reagents are consecutively considered.  Using the stability analysis by Lyapunov method, it is shown that models which take into account the possibility of structural changes of the catalyst surface can predict the occurrence of oscillatory mode in the system as a result of Hopf instability.

## Two-Dimensional Mathematical Model for Carbon Monoxide Oxidation Process on the Platinum Catalyst Surface

The two-dimensional mathematical model for carbon monoxide (СО) oxidation on the platinum (Pt) catalyst surface is investigated according to the Langmuir-Hinshelwood (LH) mechanism. The effects of structural changes of the catalytic surface and the substrate temperature are taken into account. It is shown that when two-dimensionality and structural changes are accounted for, both the dynamics of oxidation process and the stability region change.

## Mathematical model for carbon monoxide oxidation: influence of diffusion effects

A two-dimensional mathematical model for carbon monoxide oxidation on the platinum catalyst surface is investigated according to the Langmuir--Hinshelwood mechanism.  This model takes into account the influence of diffusion effects on the course of reaction-diffusion processes.  It is established that the diffusion of adsorbed oxygen atoms can be neglected, and the structural changes of the catalyst surface have a significant influence on the character of oscillatory mode of reaction.

## Mathematical model of carbon monoxide oxidation: influence of the catalyst surface structure

A substantiated mathematical model is proposed for describing the reaction-diffusion processes of a binary mixture of particles adsorbed on a catalyst surface.  It is shown that the proposed model generalizes the one-dimensional ZGB model for carbon monoxide (CO) oxidation reaction.  The kinetics of CO oxidation is investigated on the facets of platinum (Pt) crystal, which are stable with respect to reconstruction.

## Modeling of the effect of carbon dioxide desorption on carbon monoxide oxidation process on platinum catalyst surface

A two-dimensional mathematical model for carbon monoxide (CO) oxidation on the platinum (Pt) catalyst surface is investigated according to the Langmuir-Hinshelwood (LH) mechanism.   The effects of structural changes of the catalytic surface, the substrate temperature and desorption of the product of reaction (CO2) are taken into account.  It is shown that taking into account the finiteness of CO2 desorption, both the course of oxidation reaction and the stability region are only slightly affected.

## Carbon monoxide oxidation on the Pt-catalyst: modelling and stability

A two-dimensional mathematical model of carbon monoxide (CO) oxidation is investigated for the Langmuir-Hinshelwood mechanism on the surface of a Platinum (Pt) catalyst. The adsorbate-driven structural phase transition of catalytic surface is taken into account. The stability analysis of the model solutions is carried out. It is shown that the spatio-temporal periodic chemical oscillations of CO and oxygen (O) surface coverages and a fraction of the surface in the non-reconstructed $(1\times 1)$-structure occur. Conditions for Hopf and Turing bifurcation to arise are investigated.

## Modeling of carbon monoxide oxidation process on the two-dimensional catalyst surface

In this paper the two-dimensional mathematical model for carbon monoxide (CO) oxidation on the surface of Platinum (Pt) catalyst is investigated accounting for the processes of the catalyst surface reconstruction and the effect of the substrate temperature. It is shown that the stability region for reaction of CO oxidation changes in two-dimensional case.